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Finding the Third Proportional to 48,960 and 100,818

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Solution

The third proportional to 48,960 and 100,818 is: 207,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,960 : 100,818 = 100,818 : x
  2. Step 2: Convert to fraction form
    48,960/100,818 = 100,818/x
  3. Step 3: Cross multiply
    48,960x = 100,818 × 100,818
  4. Step 4: Simplify right side
    48,960x = 10,164,269,124
  5. Step 5: Solve for x
    x = 10,164,269,124/48,960
  6. Step 6: Final answer
    x = 207,603.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.